Stability Properties of Periodic Standing Waves for the Klein-Gordon-Schrodinger System
Analysis of PDEs
2009-07-14 v2
Abstract
We study the existence and orbital stability/instability of periodic standing wave solutions for the Klein-Gordon-Schr\"odinger system with Yukawa and cubic interactions. We prove the existence of periodic waves depending on the Jacobian elliptic functions. For one hand, the approach used to obtain the stability results is the classical Grillakis, Shatah and Strauss theory in the periodic context. On the other hand, to show the instability results we employ a general criterium introduced by Grillakis, which get orbital instability from linear instability.
Keywords
Cite
@article{arxiv.0907.2142,
title = {Stability Properties of Periodic Standing Waves for the Klein-Gordon-Schrodinger System},
author = {F. Natali and A. Pastor},
journal= {arXiv preprint arXiv:0907.2142},
year = {2009}
}
Comments
To appear in CPAA